312618420 has 48 divisors (see below), whose sum is σ = 972592320. Its totient is φ = 83364768.

The previous prime is 312618379. The next prime is 312618443. The reversal of 312618420 is 24816213.

312618420 is a `hidden beast` number, since 3 + 1 + 2 + 618 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288922 + ... + 290001.

It is an arithmetic number, because the mean of its divisors is an integer number (20262340).

Almost surely, 2^312618420 is an apocalyptic number.

312618420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312618420 is an abundant number, since it is smaller than the sum of its proper divisors (659973900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312618420 is a wasteful number, since it uses less digits than its factorization.

312618420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578941 (or 578933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 312618420 is about 17681.0186358139. The cubic root of 312618420 is about 678.6901110127.

The spelling of 312618420 in words is "three hundred twelve million, six hundred eighteen thousand, four hundred twenty".